Global existence for two regularized MHD models in three space-dimension
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Publication:716239
DOI10.4171/PM/1880zbMath1213.35346MaRDI QIDQ716239
Publication date: 27 April 2011
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
incompressible fluidmagnetohydrodynamicsturbulence modelsMHD-\(\alpha\) modelregularizing MHDBardina model
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fundamentals of turbulence (76F02)
Related Items (14)
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ Existence and Convergence of an MHD Approximate Deconvolution Model ⋮ Pullback attractor and invariant measures for the three-dimensional regularized MHD equations ⋮ Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows ⋮ Finite dimensional global attractor for 3D MHD-\(\alpha\) models: a comparison ⋮ Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations ⋮ Singular limits of invariant measures of the 3D MHD-Voigt equations ⋮ Large eddy simulation for turbulent flows with critical regularization ⋮ Global attractor for the Navier-Stokes equations with fractional deconvolution ⋮ Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations ⋮ Regularity and convergence results of the velocity-vorticity-Voigt model of the 3D Boussinesq equations ⋮ Global attractor and determining modes for a hyperbolic MHD turbulence Model ⋮ Length-scale estimates for the 3D simplified Bardina magnetohydrodynamic model ⋮ The research of Paolo Secchi
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